On the accuracy of Zernike moments for image analysis

被引：205

作者：

Liao, SX

Pawlak, M

机构：

[1] Univ Winnipeg, Dept Business Comp, Winnipeg, MB R3B 2E9, Canada

[2] Univ Manitoba, Dept Elect & Comp Engn, Winnipeg, MB R3T 5V6, Canada

来源：

IEEE TRANSACTIONS ON PATTERN ANALYSIS AND MACHINE INTELLIGENCE | 1998年 / 20卷 / 12期

基金：

加拿大自然科学与工程研究理事会;

关键词：

Zernike moments; geometric error; lattice points; circle problem; image reconstruction;

D O I：

10.1109/34.735809

中图分类号：

TP18 [人工智能理论];

学科分类号：

081104 ; 0812 ; 0835 ; 1405 ;

摘要：

In this paper, we give a detailed analysis of the accuracy of Zernike moments in terms of their discretization errors and the reconstruction power. It is found that there is an inherent limitation in the precision of computing the Zernike moments due to the geometric nature of a circular domain. This is explained by relating the accuracy issue to a celebrated problem in analytic number theory of evaluating the lattice points within a circle.

引用

页码：1358 / 1364

页数：7

共 18 条

[11] ON THE RECONSTRUCTION ASPECTS OF MOMENT DESCRIPTORS [J].